521434368 has 288 divisors, whose sum is σ = 1900102400. Its totient is φ = 137355264.

The previous prime is 521434363. The next prime is 521434373. The reversal of 521434368 is 863434125.

521434368 is a `hidden beast` number, since 5 + 214 + 3 + 436 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (521434363) and next prime (521434373).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521434363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628578 + ... + 629406.

Almost surely, 2^521434368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950051200).

521434368 is an abundant number, since it is smaller than the sum of its proper divisors (1378668032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521434368 is a wasteful number, since it uses less digits than its factorization.

521434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 521434368 is about 22834.9374424368. The cubic root of 521434368 is about 804.8838575803.

The spelling of 521434368 in words is "five hundred twenty-one million, four hundred thirty-four thousand, three hundred sixty-eight".